In: Math
What is the product of the two solutions to the quadratic equation (x - 2)(x - 6) = -3
The product of the solutions of a quadratic equation of the form a x² + bx + c = 0 is given by
c / a
Let us write the given equation in standard form
(x - 2)(x - 6) = -3
x² - 8x + 12 = - 3
x² - 8x + 15 = 0
The product of solutions of the given equation is
c / a = 15 / 1 = 15
15